Optimal multiplicative control of bacterial quorum sensing under external enzyme impact

The use of external enzymes provides an alternative way reducing communication in pathogenic bacteria that may lead to the degradation their signal and loss pathogeneity. present study considers optimal control problem for semilinear reaction-diffusion model bacterial quorum sensing under impact enzymes. Estimates solution controlled system are obtained, on basis which solvability extremal is proved necessary optimality conditions first-order derived. A numerical algorithm find a constructed implemented. conducted experiments demonstrate opportunity build effective strategy treatment.